Write an equation for the following translation of Y=lxl

Question

4 units up

Answer 1

To translate the graph of \( Y = |x| \) four units up, you would add 4 to the entire function. The equation for the translated function would thus be:

\( Y = |x| + 4 \)

This moves the "V" shape of the absolute value function up by four units on the Y-axis.